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21 August, 01:57

The length of one leg of a right triangle is 66 ft. the length of the hypotenuse is 22 feet longer than the other leg. find the length of the hypotenuse and the other leg.

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  1. 21 August, 02:00
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    Let the other leg be x

    one leg = 66ft

    length of hypotenuse x + 22

    x^2 + 66 ^ 2 = (x + 22) ^ 2

    x ^ 2 + 4356 = x^2 + 44 x + 484

    44 x = 4356 - 484X = 4356-484 / 44X = 3872 / 44X = 88The hypotenuse = 88 + 22Hypotenuse = 110

    So the sides are: 66, 88, and 110 ft.
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